Interpolation for Brill–Noether curves

E Larson, I Vogt - Forum of Mathematics, Pi, 2023 - cambridge.org
Forum of Mathematics, Pi, 2023cambridge.org
… In this paper, we determine the number of general points through which a BrillNoether
curve of fixed degree and genus in any projective space can be passed. … This
phenomenon was already observed for space curves in [9] in relation to semistability. We
begin by describing which vector bundles on a rational curve satisfy interpolation in terms of
the Birkhoff–Grothendieck classification. …
In this paper, we determine the number of general points through which a Brill–Noether curve of fixed degree and genus in any projective space can be passed.
Cambridge University Press
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